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Finding the Fourth Proportional to 6,562.84, 9,049.36 and 5,364.11

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Solution

The fourth proportional to 6,562.84, 9,049.36 and 5,364.11 is: 7,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.84 : 9,049.36 = 5,364.11 : x
  2. Step 2: Convert to fraction form
    6,562.84/9,049.36 = 5,364.11/x
  3. Step 3: Cross multiply
    6,562.84x = 9,049.36 × 5,364.11
  4. Step 4: Simplify right side
    6,562.84x = 48,541,762.47
  5. Step 5: Solve for x
    x = 48,541,762.47/6,562.84
  6. Step 6: Final answer
    x = 7,396.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.